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GCF of 202/40, 236/427

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 202/40, 236/427 i.e 2/17080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/40, 236/427.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 202/40,236/427?

Given fractions are 202/40,236/427

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 202/40,236/427, numerators are 202,236

Denominators are 40,427

The GCF of 202,236 is 2 .

LCM of 40,427 is 17080.

The greatest common factor of 202/40,236/427 = [GCF of 202,236]/[LCM of 40,427]= 2/17080

Therefore, the GCF of 202/40,236/427 is 2/17080.

Greatest Common Factor of 202,236

To find the highest common factor of 202,236, we have to find the factors of both numbers and list the highest common factor.

The factors of 202 are 1, 2, 101, 202

The factors of 236 are 1, 2, 4, 59, 118, 236

The HCF of 202,236 is 2.

Lets's calculate GCF of 202,236

Greatest Common Factor (GCF) of 202,236 By Common Division

2 202, 236
101, 118

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 202,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,236 By Matching Biggest Common Factor Method

Now, list down the factors of 202

:

1,2,101,202

Now, list down the factors of 236

:

1,2,4,59,118,236

Greatest Common Factor

We found the factors 202,236 . The biggest common factor number is the GCF number.
So the greatest common factor 202,236 is 2.

Lets's calculate LCM of 40,427

Lowest Common Multiple of 40,427 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17080

Therefore, the GCF of Fractions 202/40,236/427 is 2/17080

Least Common Multiple of 40,427 with GCF Formula

Least Common Multiple of 40,427 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,427) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(40,427) x common factors =1 x 1 = 1

LCM(40,427) = ( 40 × 427 ) / 1

LCM(40,427) = 17080 / 1

LCM(40,427) = 17080


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FAQs on GCF of Fractions of 202/40, 236/427

1. What is the HCF of 202,236?

The HCF of 202,236 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 202/40, 236/427?

Answer: GCF of Numerators as per given numbers 202/40, 236/427 is

GCF of Numerators i.e. for 202,236 is 2

LCM of denominators i.e. for 40,427 is 17080.

Thus, GCF of Fractions is 2/17080.Finally, GCF of Fractions for 202/40, 236/427 is 2/17080.